Dominici, Diego.

Special Functions and Orthogonal Polynomials. - 1st ed. - 1 online resource (226 pages) - Contemporary Mathematics ; v.471 . - Contemporary Mathematics .

Intro -- Contents -- Preface -- Fractional integration and fractional differentiation for d-dimensional Jacobi expansions -- Sutherland-type trigonometric models, trigonometric invariants, and multivariate polynomials -- Polynomials associated with partitions: Asymptotics and zeros -- A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation -- Asymptotics of the second Painlevé equation -- Evaluation of certain Mellin transformations in terms of the trigamma and polygamma functions -- Conformal maps to generalized quadrature domains -- Approximations for zeros of Hermite functions -- Inequalities and bounds for elliptic integrals II -- P-symbols, Heun identities, and 3F2 identities -- An iterative method for numerical integration of rational functions -- A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator -- Ramanujan's symmetric theta functions in his Lost Notebook -- Integral representations for products of Airy functions and their fractional derivatives.

9780821881507


Functions, Special -- Congresses.
Orthogonal polynomials -- Congresses.


Electronic books.

QA351 -- .S695 2007eb

515/.5